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Finding the Third Proportional to 9,870.19 and 15,202.69

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Solution

The third proportional to 9,870.19 and 15,202.69 is: 23,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.19 : 15,202.69 = 15,202.69 : x
  2. Step 2: Convert to fraction form
    9,870.19/15,202.69 = 15,202.69/x
  3. Step 3: Cross multiply
    9,870.19x = 15,202.69 × 15,202.69
  4. Step 4: Simplify right side
    9,870.19x = 231,121,707.22
  5. Step 5: Solve for x
    x = 231,121,707.22/9,870.19
  6. Step 6: Final answer
    x = 23,416.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.